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gogolik [260]
3 years ago
13

Write the quadratic equation whose roots are -2 and 1, and whose leading coefficient is 4 .

Mathematics
1 answer:
Kaylis [27]3 years ago
7 0

Answer: the equation is

4x^2 + 4x - 12

Step-by-step explanation:

A quadratic equation is an equation in which the highest power of the unknown is 2.

The general form of a quadratic equation is expressed as

ax^2 + bx + c

Where

a is the leading coefficient

c is a constant

Assuming we want to write the quadratic equation in x, from the information given, the roots which are given are -2 and 1 and the leading coefficient is 4.

Therefore, the linear factors of the quadratic equation will be (x+2) and (x-1)

the equation becomes

(x+2)(x-1)

= x^2 - x +2x - 3

= x^2 + x - 3

Given a leading coefficient of 4, we will multiply the quadratic expression by 4. It becomes

4(x^2 + x - 3)

= 4x^2 + 4x - 12

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Caroline is making some table decorations.
eduard

Answer:

there are 8 candles

Step-by-step explanation:

(i) In order to obtain an equal amount of candle to candle holders Caroline has to buy enough packs to obtain a 1:1 ratio.  

Therefore to obtain a 1:1 ratio:

=30 candles/18 candle holders * (18/30)

Therefore she needs to buy 18 packs of candles and 30 packs of candle holders to have exactly the same number of candles and holders

(ii) Caroline can make = 30*18 = 540 table decorations  

Click to let others know, how helpful is it

5 0
3 years ago
I dont know the answer
Anettt [7]

Answer:

Step-by-step explanation:

1/4 × 4 = 1

4 and 4 will get cancelled and only 1 will be left.

Hope this helps

plz mark as brainliest!!!!!

3 0
3 years ago
Which is the domain of the function shown in the graph?
vagabundo [1.1K]

Which is the domain of the function shown in the graph?

A. x ≤ 3

B. -∞ < x < ∞ ( ✔ )

C. x > 0

D. x ≥ 3

6 0
2 years ago
What is the slope of D and E??
Mazyrski [523]

Answer:

-4 and 0

Step-by-step explanation:

Rise over Run would give us the slope.

In the first graph, It goes down 4 while it goes 1 to the right.

This means that -4/1 = -4.

The second graph does not go up or down, meaning 0, while it goes 1 to the right.

This means that 0/1 = 0.

4 0
3 years ago
A 1L IV contains 60meq of kcal. The IV was discontinued after 400ml has infused. How much lvl did the patient receive
Leya [2.2K]

If a 1L IV contains 60meq of kcal and the IV was discontinued after 400ml has infused, then the amount of IV received by the patient is 24meq of kcal.

Calculation for the Amount of IV

It is given that,

1L IV contains 60meq of kcal

⇒ 1000 mL of IV contains 60meq of kcal

⇒ 1 mL of IV will contain 60 / 1000 meq of kcal

As per the question,

The amount of IV infused in the patient = 400 mL

⇒ The amount of IV received by the patient in meq of kcal = 400 × (60 / 1000)

= 4 × 6

= 24 meq of kcal

Hence, the patient receives 24meq of kcal amount of IV.

Learn more about amount here:

brainly.com/question/4567186

#SPJ1

6 0
2 years ago
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